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Finding the Fourth Proportional to 506,801.52, 699,082 and 334,719.80

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Solution

The fourth proportional to 506,801.52, 699,082 and 334,719.80 is: 461,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,801.52 : 699,082 = 334,719.80 : x
  2. Step 2: Convert to fraction form
    506,801.52/699,082 = 334,719.80/x
  3. Step 3: Cross multiply
    506,801.52x = 699,082 × 334,719.80
  4. Step 4: Simplify right side
    506,801.52x = 233,996,587,223.60
  5. Step 5: Solve for x
    x = 233,996,587,223.60/506,801.52
  6. Step 6: Final answer
    x = 461,712.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.